On a ferromagnetic spin chain. II. Thermodynamic limit

DOI10.1063/1.530769zbMath0811.11081OpenAlexW2056167591MaRDI QIDQ4296082

Andreas Knauf

Publication date: 2 May 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530769

zbMATH Keywords

partition functionRiemann zeta-functionIsing modelRiemann hypothesisLee-Yang circle theoremferromagnetic Ising modelinfinite ferromagnetic spin chainexistence of the thermodynamic limit of the free energy

Mathematics Subject Classification ID

Statistical mechanics of ferroelectrics (82D45) Miscellaneous applications of number theory (11Z05) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (5)

Free energy and correlations of the number-theoretical spin chain ⋮ Generalized Farey trees, transfer operators and phase transitions ⋮ A thermodynamic classification of real numbers ⋮ NUMBER THEORY, DYNAMICAL SYSTEMS AND STATISTICAL MECHANICS ⋮ The low activity phase of some Dirichlet series

Cites Work

• On a ferromagnetic spin chain
• Phases of the number-theoretic spin chain
• Is our mathematics natural? The case of equilibrium statistical mechanics
• Gaussian correlation inequalities for ferromagnets

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